The antonym for "integrability" is "incoherence". Integrability refers to the ability to unify or combine different elements, processes, or systems into a coherent and functional whole. In contrast, incoherence denotes a lack of unity, consistency, or logic, resulting in a disorganized and confusing state. Incoherence can be observed in various contexts, such as in speech, writing, behavior, or thought patterns. It can also manifest as a lack of coordination or cooperation among individuals, organizations, or nations. Therefore, while integrability fosters harmony, creativity, and progress, incoherence inhibits productivity, understanding, and success.